Question

Question #97f39

Answer 1

Finding the inverse of a function is basically just switching the x and y into the equation of the graph, algebraically speaking:
y = x
and x = y

Explanation:

We must switch the variables for the x and y because let's say you do just end up leaving the equation is an solve for x, what'll happen is that you'll just get up getting the x-value for the y-value you inputted while when you're inverting a function, what you're trying to find is the * reflection * of the x and y values.

You can visualize the inverse of a function better if you visualize a line with a slope of 1 going through the point (0,0) and whatever function you have, you're just reflecting it off that line.

For instance:

Take the first graph
graph{y=-1/sqrtx [-10, 10, -5, 5]}

You're basically just reflecting it off this this line.
graph{y=x}

Transforming it into this:
graph{x=-1/sqrty}

Make sense now?